by
Moore, David S.; Notz, William I.; Fligner, Michael A.

Answer

$0, 0, 10, 10$

Work Step by Step

The deviation for two of the same number is zero (e.g. $3-3 = 0$). We are looking for the largest possible deviation, so we can achieve this by finding the largest differences (from the mean) possible. The largest possible difference is 10, (from $10-0$), so we would want this difference twice. Thus, the set will have the data points $0, 0, 10, and 10$.